The following little logical teaser appears as “Ponderable 1.1.3” in David Joyner’s book *Adventures in Group Theory* (Johns Hopkins University Press, 2008; also available to download for free).

Determine which of the following statements is true.

- Exactly one of these statements is false.
- Exactly two of these statements are false.
- Exactly three of these statements are false.
- Exactly four of these statements are false.
- Exactly five of these statements are false.

(Enthusiasts might like to consider the “natural” generalisation to *n* statements, and in particular the case *n*=1…) Thanks to Dr André Sonnet for pointing this one out to me!

(DP)

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